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Finding the Fourth Proportional to 348.16, 480.42 and 200.74

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Solution

The fourth proportional to 348.16, 480.42 and 200.74 is: 277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.16 : 480.42 = 200.74 : x
  2. Step 2: Convert to fraction form
    348.16/480.42 = 200.74/x
  3. Step 3: Cross multiply
    348.16x = 480.42 × 200.74
  4. Step 4: Simplify right side
    348.16x = 96,439.51
  5. Step 5: Solve for x
    x = 96,439.51/348.16
  6. Step 6: Final answer
    x = 277.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.